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Simplifying 5x + 2 = 3(-7x + 6) + -8(-2 + -3x) Reorder the terms: 2 + 5x = 3(-7x + 6) + -8(-2 + -3x) Reorder the terms: 2 + 5x = 3(6 + -7x) + -8(-2 + -3x) 2 + 5x = (6 * 3 + -7x * 3) + -8(-2 + -3x) 2 + 5x = (18 + -21x) + -8(-2 + -3x) 2 + 5x = 18 + -21x + (-2 * -8 + -3x * -8) 2 + 5x = 18 + -21x + (16 + 24x) Reorder the terms: 2 + 5x = 18 + 16 + -21x + 24x Combine like terms: 18 + 16 = 34 2 + 5x = 34 + -21x + 24x Combine like terms: -21x + 24x = 3x 2 + 5x = 34 + 3x Solving 2 + 5x = 34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 5x + -3x = 34 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 34 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 34 + 0 2 + 2x = 34 Add '-2' to each side of the equation. 2 + -2 + 2x = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 34 + -2 2x = 34 + -2 Combine like terms: 34 + -2 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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